Shiels has hardly featured for Ally McCoist's side this season and there have been enquiries about him from rival clubs.
Light Blues chief executive Graham Wallace is set to cut costs and players on the fringes of the first team may be offloaded this month.
But the 28-year-old, who spent two months out injured during the 2013/14 campaign, started against East Fife on Saturday.
And the Northern Ireland internationalist netted two goals for the SPFL League One leaders in a 2-0 victory.
Goalkeeper Bell played alongside Shiels at Kilmarnock and was pleased to see his team-mate get back on the scoresheet.
And he believes the forward is desperate to stay at the Glasgow club that he grew up supporting as a boy.
He said: "I have known for a few years that Dean is a Rangers fan. He is delighted to be here and he works hard every day in training.
"He loves the place so I can't see him leaving. His performance at the weekend and the fact he kissed the badge after scoring shows that he does love the club.
"He is a very good player and hopefully we can keep a hold of him."
Bell, whose partner Emma is due to give birth to their first child tomorrow, believes Rangers need to keep hold of all their players as they move up the leagues.
However, he stressed that the prospect of his team-mates moving on is not affecting their bid to land the League One title.
He said: "We have got a great squad and all the boys get on really well. We are hoping that everyone stays and we have not heard anything about cuts.
"We are just here to do the business on the pitch. We are only concerned with picking up three points on the park on match days and that is what we will continue to do.
"At the end of the day, we don't know anything. Until we are told otherwise, we will just concentrate on training and playing.
"We all want to stay together and build for the future. We are doing that at the moment. We are winning matches. It is not easy to do that week in, week out.
"If we can keep together as a squad we can do well. The importance of that really showed on Saturday. We had players missing, but we were still able to bring in players. You need that at Rangers."